133322280 has 256 divisors, whose sum is σ = 510451200. Its totient is φ = 27095040.

The previous prime is 133322269. The next prime is 133322333. The reversal of 133322280 is 82223331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133322280.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316470 + ... + 316890.

It is an arithmetic number, because the mean of its divisors is an integer number (1993950).

Almost surely, 2^133322280 is an apocalyptic number.

133322280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133322280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255225600).

133322280 is an abundant number, since it is smaller than the sum of its proper divisors (377128920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133322280 is a wasteful number, since it uses less digits than its factorization.

133322280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 133322280 is about 11546.5267504995. The cubic root of 133322280 is about 510.8588374163.

The spelling of 133322280 in words is "one hundred thirty-three million, three hundred twenty-two thousand, two hundred eighty".